GATE CS 2017 Set 2 — Question 1
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Digital Logic → Number Systems & Arithmetic → Number Base Conversions
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Question
The representation of the value of a 16-bit unsigned integer in hexadecimal number system is BCA9. The representation of the value of in octal number system is
Correct answer
(D) 136251
Solution
To convert a hexadecimal number to octal, it is easiest to first convert it to binary and then to octal.
1.Hexadecimal .
2.Convert each hex digit to its 4-bit binary equivalent:
- B = 1011
- C = 1100
- A = 1010
- 9 = 1001
3.Group the binary digits into sets of three from right to left to convert to octal:
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